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Finding the Fourth Proportional to 14,323.50, 19,768.80 and 8,355.17

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Solution

The fourth proportional to 14,323.50, 19,768.80 and 8,355.17 is: 11,531.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,323.50 : 19,768.80 = 8,355.17 : x
  2. Step 2: Convert to fraction form
    14,323.50/19,768.80 = 8,355.17/x
  3. Step 3: Cross multiply
    14,323.50x = 19,768.80 × 8,355.17
  4. Step 4: Simplify right side
    14,323.50x = 165,171,585.85
  5. Step 5: Solve for x
    x = 165,171,585.85/14,323.50
  6. Step 6: Final answer
    x = 11,531.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.